On symbol-pair weight distribution of MDS codes and simplex codes over finite fields

Symbol-pair code is a new coding framework proposed to combat pair-errors in symbol-pair read channels. Remarkably, a classical maximum distance separable (MDS) code is also an MDS symbol-pair code. In this paper, we investigate the symbol-pair weight distribution of MDS codes and the symbol b -weig...

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Veröffentlicht in:Cryptography and communications 2021, Vol.13 (1), p.101-115
Hauptverfasser: Ma, Junru, Luo, Jinquan
Format: Artikel
Sprache:eng
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Zusammenfassung:Symbol-pair code is a new coding framework proposed to combat pair-errors in symbol-pair read channels. Remarkably, a classical maximum distance separable (MDS) code is also an MDS symbol-pair code. In this paper, we investigate the symbol-pair weight distribution of MDS codes and the symbol b -weight distribution of simplex codes over finite fields respectively. Surprisingly, one can derive that all the nonzero codewords of simplex codes have the same symbol b -weight and rearrangement of coordinates in simplex codes may induce different symbol-pair weights. Moreover, the symbol b -weight distribution of variation simplex codes over certain finite fields is determined.
ISSN:1936-2447
1936-2455
DOI:10.1007/s12095-020-00455-x